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Finding the Third Proportional to 400,354,086 and 862,138,572

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Solution

The third proportional to 400,354,086 and 862,138,572 is: 1,856,563,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,354,086 : 862,138,572 = 862,138,572 : x
  2. Step 2: Convert to fraction form
    400,354,086/862,138,572 = 862,138,572/x
  3. Step 3: Cross multiply
    400,354,086x = 862,138,572 × 862,138,572
  4. Step 4: Simplify right side
    400,354,086x = 743,282,917,330,199,168
  5. Step 5: Solve for x
    x = 743,282,917,330,199,168/400,354,086
  6. Step 6: Final answer
    x = 1,856,563,835.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.